An interpolating reproducing kernel particle method for two-dimensional scatter points

doi:10.1088/1674-1056/23/7/070207

›› 2014, Vol. 23 ›› Issue (7): 70207-070207.doi: 10.1088/1674-1056/23/7/070207

An interpolating reproducing kernel particle method for two-dimensional scatter points

秦义校^a, 刘营营^a, 李中华^{a b}, 杨明^a

a College of Mechanical Engineering, Taiyuan University of Science and Technology, Taiyuan 030024, China;
b Shantui Construction Machinery Co., Ltd, Jining 272000, China

收稿日期:2013-11-26 修回日期:2014-01-22 出版日期:2014-07-15 发布日期:2014-07-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11171208) and the Natural Science Foundation of Shanxi Province, China (Grant No. 2013011022-6).

An interpolating reproducing kernel particle method for two-dimensional scatter points

Qin Yi-Xiao (秦义校)^a, Liu Ying-Ying (刘营营)^a, Li Zhong-Hua (李中华)^{a b}, Yang Ming (杨明)^a

a College of Mechanical Engineering, Taiyuan University of Science and Technology, Taiyuan 030024, China;
b Shantui Construction Machinery Co., Ltd, Jining 272000, China

Received:2013-11-26 Revised:2014-01-22 Online:2014-07-15 Published:2014-07-15
Contact: Qin Yi-Xiao E-mail:qyx819@163.com,457612677@qq.com
About author:02.60.-x; 02.60.Cb; 46.25.-y
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11171208) and the Natural Science Foundation of Shanxi Province, China (Grant No. 2013011022-6).

摘要/Abstract

摘要： An interpolating reproducing kernel particle method for two-dimensional (2D) scatter points is introduced. It eliminates the dependency of gridding in numerical calculations. The interpolating shape function in the interpolating reproducing kernel particle method satisfies the property of the Kronecker delta function. This method offers a mathematics basis for recognition technology and simulation analysis, which can be expressed as simultaneous differential equations in science or project problems. Mathematical examples are given to show the validity of the interpolating reproducing kernel particle method.

关键词: interpolating reproducing kernel particle method, point interpolating characteristic, scatter points

Abstract: An interpolating reproducing kernel particle method for two-dimensional (2D) scatter points is introduced. It eliminates the dependency of gridding in numerical calculations. The interpolating shape function in the interpolating reproducing kernel particle method satisfies the property of the Kronecker delta function. This method offers a mathematics basis for recognition technology and simulation analysis, which can be expressed as simultaneous differential equations in science or project problems. Mathematical examples are given to show the validity of the interpolating reproducing kernel particle method.

Key words: interpolating reproducing kernel particle method, point interpolating characteristic, scatter points

中图分类号: (Numerical approximation and analysis)

02.60.-x

02.60.Cb (Numerical simulation; solution of equations) 46.25.-y (Static elasticity)

秦义校, 刘营营, 李中华, 杨明. An interpolating reproducing kernel particle method for two-dimensional scatter points[J]. , 2014, 23(7): 70207-070207.

Qin Yi-Xiao (秦义校), Liu Ying-Ying (刘营营), Li Zhong-Hua (李中华), Yang Ming (杨明). An interpolating reproducing kernel particle method for two-dimensional scatter points[J]. Chin. Phys. B, 2014, 23(7): 70207-070207.

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An interpolating reproducing kernel particle method for two-dimensional scatter points

An interpolating reproducing kernel particle method for two-dimensional scatter points

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